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Finding the Fourth Proportional to 60,646.16, 83,691.14 and 33,788.18

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Solution

The fourth proportional to 60,646.16, 83,691.14 and 33,788.18 is: 46,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,646.16 : 83,691.14 = 33,788.18 : x
  2. Step 2: Convert to fraction form
    60,646.16/83,691.14 = 33,788.18/x
  3. Step 3: Cross multiply
    60,646.16x = 83,691.14 × 33,788.18
  4. Step 4: Simplify right side
    60,646.16x = 2,827,771,302.73
  5. Step 5: Solve for x
    x = 2,827,771,302.73/60,646.16
  6. Step 6: Final answer
    x = 46,627.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.